Math 790 (3 credits)
The Mathematics of Space / MTWRF 9:00-12:00 noon
North Dakota State University, Summer 2013

Any students with disabilities or other special needs, who need special accommodations in this course are invited to share these concerns or requests with the instructor and contact the Disability Services Office as soon as possible.Veterans and student soldiers with special circumstances or who are activated are encouraged to notify the instructor in advance.


DoğanÇömez, Professor and Chair, Department of Mathematics

Minard 300C, NDSU


Phone: 231-7490


Reston, V.A., National Council of Teachers of Mathematics, (2000). Principles and Standards for School Mathematics.ISBN 0-87353-480-8. (Optional)

Lang, S. and Murray, G., Geometry, (1983).Springer-Verlag.ISBN 0-387-90727-0. (Optional)

National Research Council, (2000).Inquiry and the National Science Education Standards: A Guide for Teaching and Learning. Washington DC: National Academy Press. ISBN 0-309-06476-7. (Optional)

National Research Council, (2000).How People Learn: Brain, Mind, Experience, and School. Washington DC: National Academy Press. ISBN0-309-07036-8. (Required)

NCTM publications available directly from the NCTM at a discount for members: National Academy Press publications are available at a discount from their website:


The Mathematics of Space (Math 790) is a course in aligned with the NDSU Master of Science in Education programs with specializations in science or mathematics education. The course conceptual content includes modeling, axiomatic systems and the nature of mathematics, conjecture and proof, and functions. Throughout, students will be introduced to the content via rich problem contexts, will engage in group work, conjecturing, explanation, justification, and critical analysis—giving explanations to the group and receiving critical feedback and questioning. Students will also conduct exploration through the use of Geometers Sketchpad, graphing calculators, and TEC.

The course has four learning objectives:

  1. Read articles, book chapters and other material; discuss their implications for classroom practice.
  2. Develop a proposal for an action research project (a classroom study to be conducted by the graduate student in a class they teach).
  3. Demonstrate understanding of course content and its relation on mathematics teaching and curriculum by writing short essay quizzes and actively participating in classroom discussions.
  4. Develop inquiry lesson plans using research-based models.

Course Topics

  1. Conic sections
  2. All things Pythagorean
  3. Polygons
  4. Solids
  5. Action Research


Grades in the course will reflect each student’s demonstrated development as a professional science/mathematics educator. Grades will be based on (a) two short essay quizzes (40%), (b) inquiry lesson plans (20%), (c) an action research proposal (20%), and (d) active participation and leadership in class activities and discussions.

Reasoned Action Model

The School of Education has adopted the reasoned action model for use in all courses. The model includes six phases or components, which will be used in Education 781 this semester: (a) comprehension, (b) transformation, (c) instruction, (d) evaluation, (e) reflection, and (f) new comprehensions. This model will be the basis of instruction in the course this semester and will be developed by students as a framework for their own roles as secondary science or mathematics teachers.

Academic Integrity

The academic community is operated on the basis of honesty, integrity, and fair play. NDSU Policy 335: Code of Academic Responsibility and Conductapplies to cases in which cheating, plagiarism, or other academic misconduct have occurred in an instructional context. Students found guilty of academic misconduct are subject to penalties, up to and possibly including suspension and/or expulsion. Student academic misconduct records are maintained by theOffice of Registration and Records.Informational resources about academic honesty for students and instructional staff members can be found at